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Finding the Third Proportional to 378,664.50 and 810,521.63

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Solution

The third proportional to 378,664.50 and 810,521.63 is: 1,734,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,664.50 : 810,521.63 = 810,521.63 : x
  2. Step 2: Convert to fraction form
    378,664.50/810,521.63 = 810,521.63/x
  3. Step 3: Cross multiply
    378,664.50x = 810,521.63 × 810,521.63
  4. Step 4: Simplify right side
    378,664.50x = 656,945,304,592.64
  5. Step 5: Solve for x
    x = 656,945,304,592.64/378,664.50
  6. Step 6: Final answer
    x = 1,734,900.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.